STUDY EDUCATION - MP Board Solutions

NCERT Class 7 Maths Chapter 7 A Tale of Three Intersecting Lines Worksheet with Answers Class 7 Maths Chapter 7 Worksheet Fill in the Blanks 1. Two intersecting lines meet at one __________. Answer: Point 2. Vertically opposite angles are always __________. Answer: Equal 3. The sum of angles on a straight line is __________. Answer: 180° 4. The sum of angles around a point is __________. Answer: 360° 5. Perpendicular lines form an angle of __________. Answer: 90° Write True or False 6. Vertically opposite angles are equal. Answer: True 7. Adjacent angles on a straight line add up to 180°. Answer: True 8. Three intersecting lines can form six angles. Answer: True 9. Parallel lines intersect at one point. Answer: False 10. Perpendicular lines intersect at 90°. Answer: True Short Answer Questions 11. If one angle is 70°, find its vertically opposite angle. Answer: 70° 12. If one angle on a straight line is 115°, find the adjacent angle. Answer: 65° 13. What is the...

NCERT Class 7 Maths Chapter 7 A Tale of Three Intersecting Lines MCQ Questions with Answers Class 7 Maths Chapter 7 MCQs 1. When two lines intersect, how many angles are formed? A. 2 B. 3 C. 4 D. 5 Answer: C 2. Vertically opposite angles are always: A. Complementary B. Equal C. Unequal D. Right angles only Answer: B 3. The sum of angles around a point is: A. 90° B. 180° C. 270° D. 360° Answer: D 4. The sum of adjacent angles on a straight line is: A. 90° B. 120° C. 180° D. 360° Answer: C 5. If one angle is 65°, its vertically opposite angle is: A. 25° B. 65° C. 115° D. 180° Answer: B 6. If one angle is 110°, the adjacent angle is: A. 70° B. 80° C. 90° D. 110° Answer: A 7. Three lines intersecting at one point form: A. 4 angles B. 5 angles C. 6 angles D. 8 angles Answer: C 8. The total of all six angles formed by three intersecting lines is: A. 180° B. 270° C. 360° D. 540° Answer: C 9. Perpendicular lines intersect at: A. 30° B. 45° C. 90° D. 180° Answer: C 10. Which pair of an...

NCERT Class 7 Maths Chapter 7 A Tale of Three Intersecting Lines Extra Questions with Answers Class 7 Maths Chapter 7 Extra Questions with Answers Q1. What are intersecting lines? Answer: Intersecting lines are lines that meet at a common point. Q2. How many angles are formed when two lines intersect? Answer: Four angles. Q3. What is the sum of angles around a point? Answer: 360°. Q4. What is the sum of adjacent angles on a straight line? Answer: 180°. Q5. Vertically opposite angles are always ________. Answer: Equal. Q6. If one angle is 65°, what is its vertically opposite angle? Answer: 65°. Q7. If one angle is 110°, what is the adjacent angle? Answer: 70°. Q8. Three lines intersect at one point. What is the total sum of all six angles formed? Answer: 360°. Q9. If one angle is 40°, what is the angle on the same straight line? Answer: 140°. Q10. Which pair of angles is always equal when two lines intersect? Answer: Vertically opposite angles. Q11. How many pairs of verticall...

A Tale of Three Intersecting Lines Class 7 Solutions Ganita Prakash Maths Chapter 7 In-text questions (Page 146) Q. What happens when the three vertices lie on a straight line? Solution: When the three vertices lie on a straight line, they are said to be collinear. In this case, they do not form a closed shape, and hence, a triangle cannot be formed. Construct (Page 150) Q. Construct triangles having the following sidelengths (all the units are in cm) (a) 4, 4, 6 (b) 3, 4, 5 (c) 1, 5, 5 (d) 4, 6, 8 (e) 3.5, 3.5, 3.5 Solution: (a) 4, 4, 6 (i) Draw the base PQ using one of the given side lengths. Let PQ = 6 cm. (ii) From points P and Q, draw arcs of radius 4 cm each. Let the arcs intersect at point R. (iii) The point of intersection R is the required third vertex. Join PR and QR to form ∆PQR. (b) 3, 4, 5 (i) Draw the base PQ with one of the side lengths. Let PQ = 5 cm. (ii) From P, draw a long arc of radius 3 cm. (iii) From Q, draw an arc of radius 4 cm intersecting the first arc at po...